{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this Kernel we'll beat the bookmakers by betting on some well-chosen tennis matches !  \n",
    "\n",
    "All the data is from http://tennis-data.co.uk/data.php.  \n",
    "We have all the tennis matches played in the ATP World Tour (Grand Slams, Masers, Master 1000 & ATP500) since January 2000, and until March 2018. \n",
    "\n",
    "There is much information in this dataset. This notebook will focus only on a quick analysis of the betting market, and propose a betting strategy that generates a non negligible return on investment. \n",
    "\n",
    "The full code is available on github : https://github.com/edouardthom/ATPBetting.git."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Table of Contents\n",
    "1. [Introduction : the data and some definitions](#introduction)\n",
    "2. [Assessment of some basic strategies ](#basic)\n",
    "    1. [Betting on all matches](#all_matches)\n",
    "    2. [Betting on a selection of matches](#selection_matches)\n",
    "3. [The proposed strategy](#proposed_strategy)\n",
    "    1. [Confidence computation](#confidence)\n",
    "    2. [Performance of the prediction](#performance)\n",
    "    3. [Final ROI](#final_roi)\n",
    "    4. [Roi variability study](#variability) \n",
    "4. [Conclusion](#conclusion)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Introduction : the data and some definitions <a name=\"introduction\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Some important definitions : odds and ROI"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's say you bet 10€ on Djokovic with an odd of 1.3\n",
    "\n",
    "* If he wins, you go back home with your 10€, plus 3€ of benefits\n",
    "* If he loses you go back home with 0€  \n",
    "   \n",
    "   \n",
    "* If he wins, as you bet 10€ and won 13€, we say that your ROI (return on investment) is 30%\n",
    "* If he looses, your ROI in -100%"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### The tennis matches data "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 181,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "from datetime import datetime,timedelta\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "data=pd.read_csv(\"Generated Data/atp_data.csv\",low_memory=False)\n",
    "data.Date = data.Date.apply(lambda x:datetime.strptime(x, '%Y-%m-%d'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The dataset \"atp_data.csv\" is directly built from the data you can find on http://tennis-data.co.uk/data.php. I selected the columns that will be useful for the betting model, and added the elo rankings of the players at the beginning of each match.\n",
    "\n",
    "We have all the matches played on the ATP World Tour from January 2000 to March 2018.\n",
    "\n",
    "One row per match. And we have some information about each match :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 182,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total number of matches : 44708\n"
     ]
    }
   ],
   "source": [
    "print(\"Total number of matches : \"+str(len(data)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 183,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['ATP', 'Location', 'Tournament', 'Date', 'Series', 'Court', 'Surface', 'Round', 'Best of', 'Winner', 'Loser', 'WRank', 'LRank', 'Wsets', 'Lsets', 'Comment', 'PSW', 'PSL', 'B365W', 'B365L', 'elo_winner', 'elo_loser', 'proba_elo']\n"
     ]
    }
   ],
   "source": [
    "print(list(data.columns))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For each of the matches, you have the Tournament, Date, match winner, match loser,  surface, tournament round, the ATP rankings of the winner and the loser... These informations will be useful to build features for the model.\n",
    "\n",
    "**And very important :** the odds of 2 bookmakers, Pinnacle and Bet365 (odds at the beginning of the match)\n",
    "\n",
    "With this information we can estimate the ROI of any betting strategy.\n",
    "\n",
    "Now let's begin by assessing the ROI of simple strategies..."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Assessment of some basic strategies <a name=\"basic\"></a>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 190,
   "metadata": {},
   "outputs": [],
   "source": [
    "def basic_horizontal_barplot(values,labels,xaxis_label,title,xlim=None,figsize=None):\n",
    "    \"\"\"\n",
    "    Please provide the labels corresponding to the values, the plot title, and the xaxis label.\n",
    "    \"\"\"\n",
    "    # Possible colors to use - if not enough, colors are reused\n",
    "    cs=[\"coral\",\"tomato\",\"peachpuff\",\"orange\",\"gold\",\"firebrick\",\"peru\",\"khaki\",\"chocolate\"]\n",
    "    cs=cs*(len(values)//len(cs)+1)\n",
    "    # The figure\n",
    "    if figsize==None:\n",
    "        fig=plt.figure(figsize=(4,3))\n",
    "    else:\n",
    "        fig=plt.figure(figsize=figsize,dpi=120)\n",
    "    ax = fig.add_axes([0,0,1,0.9])\n",
    "    color=cs[:len(values)]\n",
    "    ax.barh(range(len(values)),values,color=color)\n",
    "    ax.set_yticks(range(len(values)))\n",
    "    ax.set_yticklabels(labels)\n",
    "    if xlim!=None:\n",
    "        ax.set_xlim(xlim)\n",
    "    plt.suptitle(title)\n",
    "    ax.set_xlabel(xaxis_label)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Betting on all matches <a name=\"all_matches\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's say we decide to bet on all matches between January 2011 and march 2018."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 191,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of matches during this period : 16412\n"
     ]
    }
   ],
   "source": [
    "beg=datetime(2011,1,1) \n",
    "end=data.Date.iloc[-1]\n",
    "indices=data[(data.Date>beg)&(data.Date<=end)].index\n",
    "data_sel=data[[\"B365W\",\"B365L\",\"PSW\",\"PSL\",\"WRank\",\"LRank\"]]\n",
    "data_sel=data.iloc[indices,:]\n",
    "print(\"Number of matches during this period : \"+str(len(data_sel)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*(with such a number of matches the confidence intervals will be very small)*\n",
    "\n",
    "3 possible strategies are :\n",
    "* always betting on the player with the smallest odd\n",
    "* always betting on the player with the best ATP ranking\n",
    "* betting completely at random for each match : \"head or tail betting\"\n",
    "\n",
    "In the following graph we compare these 3 strategies for the 2 bookmakers.\n",
    "\n",
    "**Precision :** we bet the same amount of money on each match."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 192,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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3evfuTeHChfnhhx/46aefuHjxYrbdfLVu3ToURaFSpUpZHtKsdevW6qNQR48e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\nyIULF5gwYYLRKOyDB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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0d5fedfda0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## Comparison of some basic strategies\n",
    "roi_smallest_odd_ps=100*(data_sel.PSW[data_sel.PSW<data_sel.PSL].sum()-len(data_sel))/len(data_sel)\n",
    "roi_best_ranking_ps=100*(data_sel.PSW[data_sel.WRank<data_sel.LRank].sum()-len(data_sel))/len(data_sel)\n",
    "roi_random_ps=100*(data_sel.sample(int(len(data_sel)/2)).PSW.sum()-len(data_sel))/len(data_sel)\n",
    "roi_smallest_odd_365=100*(data_sel.B365W[data_sel.B365W<data_sel.B365L].sum()-len(data_sel))/len(data_sel)\n",
    "roi_best_ranking_365=100*(data_sel.B365W[data_sel.WRank<data_sel.LRank].sum()-len(data_sel))/len(data_sel)\n",
    "roi_random_365=100*(data_sel.sample(int(len(data_sel)/2)).PSW.sum()-len(data_sel))/len(data_sel)\n",
    "values=[roi_smallest_odd_ps,roi_best_ranking_ps,roi_random_ps,\n",
    "        roi_smallest_odd_365,roi_best_ranking_365,roi_random_365]\n",
    "labels=[\"Pinnacle\\nsmallest odds strategy\",\"Pinnacle\\nbest ranking strategy\",\"Pinnacle\\nhead or tail betting\",\n",
    "       \"Bet365\\nsmallest odds strategy\",\"Best365\\nbest ranking strategy\",\"Bet365\\nhead or tail betting\"]\n",
    "xaxis_label=\"Return on investment (ROI) in %\"\n",
    "title=\"Betting on all ATP matches since 2011\"\n",
    "basic_horizontal_barplot(values,labels,xaxis_label,title,[0,-8],(4,4))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*(it means for example that if during 1000 matches we bet 1€ on the best ranked player on Pinnacle, we can expect to loose approximately 26€ in the end)*\n",
    "\n",
    "Pinnacle has a reputation of having the best odds. It seems to deserve well its reputation. A global loss of ~2% is very low. On the contrary Bet365 seems to take a much higher commission than Pinnacle.\n",
    "\n",
    "\n",
    "Considering the ROI of the random strategy, it is the best strategy on Bet365 and the worse on Pinnacle. One possible explanantion is that Bet365 is intended to more unexperienced gamblers. They might have noticed that their gamblers tend to overbet on the best ranked player, so to mitigate the risk they decrease the odds of the best ranked players. But we'll go back to these bookmakers techniques later...\n",
    "  \n",
    "  \n",
    "**Now let's imagine we know in advance the result of each match. So we always bet on the winner of the match.**\n",
    "\n",
    "What is the ROI we can expect ?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 193,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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AAM6dOwd9fX3Y2Nhg586d4tXR4oyl3rBhQwQHB2Pjxo1iENHU1ISpqSnGjx+P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\nvXs377zzDjY2Nhw9epQNGzYwcOBAs4Dr7u5O8+bNWbRoEUFBQZw6dYp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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0d670bb2e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## Maximum possible ROI\n",
    "max_roi_ps=100*(data_sel.PSW.sum()-len(data_sel))/len(data_sel)\n",
    "max_roi_365=100*(data_sel.B365W.sum()-len(data_sel))/len(data_sel)\n",
    "values=[max_roi_ps,max_roi_365]\n",
    "labels=[\"Pinnacle\\ngood prediction for all matches\",\"Bet365\\ngood prediction for all matches\"]\n",
    "xaxis_label=\"Return on investment (ROI) in %\"\n",
    "title=\"Betting on all ATP matches since 2011\"\n",
    "basic_horizontal_barplot(values,labels,xaxis_label,title,[0,100],(4,2.5))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Therefore if we bet on all matches we can't expect a ROI above 92%.\n",
    "\n",
    "Once again it appears that Pinnacle is much more friendly than Bet365.\n",
    "\n",
    "In the following we'll focus on Pinnacle only."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Betting on a selection of matches <a name=\"selection_matches\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Idea :** instead of betting on all matches, we could focus on some matches where we are especially confident. \n",
    "\n",
    "In the following, every betting strategy will output a \"confidence dataset\". For each match it will contain the confidence in each player. From this dataset, we can set a threshold and bet only on the matches where our confidence is beyond a certain threshold."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As an example, we begin with a simple hypothetical strategy. We can say that our confidence is the odd itself. Therefore the greater the odd of a player the greater our will to bet on him. Let's imagine we know the winner of each match in advance and we bet only on the X% of players with the highest odds. This would be the perfect strategy in a world where we are omniscient.\n",
    "\n",
    "What would be our ROI ?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 213,
   "metadata": {},
   "outputs": [],
   "source": [
    "def profitComputation(percentage_matchs,conf,model_name=\"0\"):\n",
    "    \"\"\"\n",
    "    Given a confidence dataset and a percentage of matches, computes the ROI \n",
    "    if we bet only on the percentage of matches we have the most confidence in\n",
    "    (same amount for each match).\n",
    "    \"\"\"\n",
    "    coeff=percentage_matchs/100\n",
    "    lim=int(coeff*len(conf))\n",
    "    conf=conf.sort_values(\"confidence\"+model_name,ascending=False)\n",
    "    conf=conf.iloc[:lim,:]\n",
    "    profit=100*(conf.PSW[conf[\"win\"+model_name]==1].sum()-len(conf))/len(conf)\n",
    "    return profit\n",
    "\n",
    "def plotProfits(conf,title=\"\"):\n",
    "    \"\"\"\n",
    "    Given a confidence dataset, plots the ROI according to the percentage of matches\n",
    "    we bet on. \n",
    "    \"\"\"\n",
    "    profits=[]\n",
    "    ticks=range(5,101)\n",
    "    for i in ticks:\n",
    "        p=profitComputation(i,conf)\n",
    "        profits.append(p)\n",
    "    fig=plt.figure(figsize=(6,4),dpi=120)\n",
    "    plt.plot(ticks,profits)\n",
    "    plt.xticks(range(0,101,5))\n",
    "    plt.xlabel(\"% of matches we bet on\")\n",
    "    plt.ylabel(\"Return on investment (%)\")\n",
    "    plt.suptitle(title)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 214,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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VcePGASj4hS9x+vRpZGZmwt7eXvp8SXh4eJS6xQIAfv31V+Tm5uKDDz5As2bNZNZNnDgR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KCqquqx1/m70tJSAEBAQIAkPm7cOLz00kvQarWSuCAIePnll8VjMzMzWFpaoq2t7amuy9h/Fb9o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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0d6000f898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "perfect_conf=pd.concat([data_sel[[\"Date\",\"PSW\",\"PSL\"]]],1)\n",
    "perfect_conf[\"win0\"]=[1]*len(perfect_conf)\n",
    "perfect_conf[\"confidence0\"]=perfect_conf.PSW\n",
    "perfect_conf=perfect_conf.rename(columns={\"Date\":\"date\"})\n",
    "plotProfits(perfect_conf,\"Good prediction for all matches (Pinnacle)\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we can see if we bet on 100% of the matches, and we are right each time, we find again the ROI we found above (92%).\n",
    "\n",
    "But if we bet only on the matches we are the most confident in (in our ideal case the match with the highest odds) our ROI is much higher.\n",
    "\n",
    "\n",
    "Betting on a subset of matches is in general a good strategy. It is hard to get a good ROI by betting on ALL matches, but it is feasible with a subset. The only limit being the percentage of matches we bet on. If it is too small, the variance in our ROI will be big. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# The proposed strategy <a name=\"proposed_strategy\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "XGBoost will predict a probability for each outcome of each match. \n",
    "\n",
    "Our confidence will be our probability divided by the probability implied by the bookmaker.\n",
    "\n",
    "The probability implied by the bookmaker is the inverse of the odd.\n",
    "\n",
    "**Example :** \n",
    "\n",
    "* There is an odd of 2.5 on the victory of Zverev against Nadal\n",
    "* This odd tells us it is unlikely to happen\n",
    "* More precisely the probability implied by the bookmaker is 1/2.5 = 0.4\n",
    "* But our model tells us the real probability is 0.8, so Zverev is the favourite\n",
    "* It might be because Nadal is overpriced (because he is Nadal)\n",
    "* But we won't be fooled \n",
    "* Our confidence is here 0.8/0.4 = 2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Confidence computation <a name=\"confidence\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To test this whole betting strategy, we'll take time into account. \n",
    "\n",
    "We train a model to predict the outcome of each match given the last 10700. Out of the 10700, 300 are devoted to validation - the 300 consecutive matches right before the match we want to predict.\n",
    "\n",
    "To make the process quicker, and as it doesn't harm the ROI, instead of training a new model to predict each match, we make the same model predict 2000 matches at a time."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The features used are various. we can cite :\n",
    "* The Pinnacle odds\n",
    "* For each player the percentage of matches won during the last X days\n",
    "* For each player the number of matches played during the last X days\n",
    "* For each player the number of recent wounds\n",
    "* The Elo rankings of the players\n",
    "* ...\n",
    "I also directly one-hot encoded the players with the most matches.\n",
    "\n",
    "As the code to build the training set is a little bit too long for this kernel, you can find it in this github repo :\n",
    "https://github.com/edouardthom/ATPBetting.git. The result of some computation is in the github in the folder \"Generated Data\". This is where you can find the dataframe used in the 2nd part.\n",
    "\n",
    "We'll import the dataset with the prediction (and the confidence level) for each match, and study it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 234,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total number of matches predicted : 11054\n"
     ]
    }
   ],
   "source": [
    "# Our predictions + confidence level + if we were right or not\n",
    "conf=pd.read_csv(\"Generated Data/confidence_data.csv\")\n",
    "print(\"Total number of matches predicted : \"+str(len(conf)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 235,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>match</th>\n",
       "      <th>PSW</th>\n",
       "      <th>win0</th>\n",
       "      <th>confidence0</th>\n",
       "      <th>date</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>20445</td>\n",
       "      <td>2.85</td>\n",
       "      <td>1</td>\n",
       "      <td>2.037852</td>\n",
       "      <td>2016-07-22</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>19518</td>\n",
       "      <td>1.41</td>\n",
       "      <td>0</td>\n",
       "      <td>1.973181</td>\n",
       "      <td>2016-04-16</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>15396</td>\n",
       "      <td>3.15</td>\n",
       "      <td>1</td>\n",
       "      <td>1.950877</td>\n",
       "      <td>2013-08-13</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>18868</td>\n",
       "      <td>1.55</td>\n",
       "      <td>0</td>\n",
       "      <td>1.914305</td>\n",
       "      <td>2016-01-25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>22118</td>\n",
       "      <td>2.70</td>\n",
       "      <td>1</td>\n",
       "      <td>1.888781</td>\n",
       "      <td>2017-04-18</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>20581</td>\n",
       "      <td>2.86</td>\n",
       "      <td>1</td>\n",
       "      <td>1.866368</td>\n",
       "      <td>2016-08-15</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   match   PSW  win0  confidence0        date\n",
       "0  20445  2.85     1     2.037852  2016-07-22\n",
       "1  19518  1.41     0     1.973181  2016-04-16\n",
       "2  15396  3.15     1     1.950877  2013-08-13\n",
       "3  18868  1.55     0     1.914305  2016-01-25\n",
       "4  22118  2.70     1     1.888781  2017-04-18\n",
       "5  20581  2.86     1     1.866368  2016-08-15"
      ]
     },
     "execution_count": 235,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "conf.iloc[:6,:]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can see that for each of the matches we have :\n",
    "* its date\n",
    "* our confidence in the outcome we chose\n",
    "* if the outcome we chose is the right one (ie. if we bet on the winner of the match)\n",
    "* the odds corresponding to the outcome we chose"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Performance of the prediction <a name=\"performance\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "What is the percentage of matches we predicted right ?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 236,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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jPJIeanNq+iTN09PTe+9QtLmlr6+PYsWKoXXr1mjQoAHatm2LP//8E4GBgfj+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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0d66e09400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Comparison of different techniques for the winner prediction\n",
    "# Interval for the comparison : [beg,end]\n",
    "beg=datetime(2013,1,1)\n",
    "end=data.Date.iloc[-1]\n",
    "indices=data[(data.Date>=beg)&(data.Date<=end)].index\n",
    "# classical ATP ranking\n",
    "test=data[[\"WRank\",\"LRank\"]].iloc[indices,:]\n",
    "atp=100*(test.LRank>test.WRank).sum()/len(indices)\n",
    "# Elo ranking\n",
    "test=data.iloc[indices,:]\n",
    "elo=100*(test.elo_winner>test.elo_loser).sum()/len(indices)\n",
    "# Bookmakers\n",
    "test=data.iloc[indices,:]\n",
    "book_pi=100*(test.PSW<test.PSL).sum()/len(indices)\n",
    "book_365=100*(test.B365W<test.B365L).sum()/len(indices)\n",
    "# Our prediction\n",
    "our=100*conf.win0.sum()/len(conf)\n",
    "# Plot\n",
    "labels=[\"Prediction with ATP ranking\",\"with Elo ranking\",\n",
    "        \"Bet365\",\"Pinnacle\",\n",
    "        \"our prediction\"]\n",
    "values=[atp,elo,book_pi,book_365,our]\n",
    "xaxis_label=\"% of matches correctly predicted\"\n",
    "title=\"Prediction of all matches since Jan. 2013 (\"+str(len(indices))+\" matches)\"\n",
    "xlim=[65,70]\n",
    "basic_horizontal_barplot(values,labels,xaxis_label,title,xlim,figsize=(4,4))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can remark that our prediction is not especially incredible. \n",
    "\n",
    "We predicted 68.7% of matches right.\n",
    "\n",
    "**But this is not the final objective, we want the best ROI.** \n",
    "\n",
    "If we are often wrong but right only on the matches with high odds, it's ok !\n",
    "\n",
    "In fact all the hyperparameters of the models were chosen to maximize the ROI, and not the prediction accuracy."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Final ROI <a name=\"final_roi\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "With our predictions and their associated confidence levels, we can now see what would have happened if we had bet only on the X% matches we are the most confident in the outcome.\n",
    "\n",
    "*Reminder : we bet the same amount of money per match*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 215,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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hfIlEIqxZs0YQi8XC559/XmL+qlWrZOsnJSXJzbtw4YJgZWUlWFtbC3fu3JFNv3fvnmBj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bW1TvXVa6du3bqlk/qNjIxgYWGBoqKiVp8VFhbCw8NDJ7oP07t3bwwePBjl5eWd3nfnzp1YtWoV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\nOBwOh8PhdGF4ssfhcDgcDofThfk/fxsvBZPOEEMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0d670b7198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plotProfits(conf,title=\"Our strategy that uses XGBoost - 11,054 matches\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If we bet on ALL the matches, we loose money :(\n",
    "\n",
    "**But if we bet on 5% of the matches, we get a ROI of 70% !**\n",
    "\n",
    "Now this study would be incomplete if we didn't study the variance and stationarity of the ROI."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## ROI variability study <a name=\"variability\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compared to other sports, the number of matches in tennis is rather low (~2200/year).\n",
    "\n",
    "If we choose to bet only on 1% of matches, you see the problem...\n",
    "\n",
    "We don't want to wait too long to guarantee our ROI. \n",
    "\n",
    "**Let's say in general we are willing to wait 117 consecutive matches. And we'll bet on a part of these 117 matches.**\n",
    "\n",
    "(in a grand slam there are 117 matches, occurring in 2 weeks)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 216,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def profitsAlongTime(conf,matches_delta):\n",
    "    span_matches=span_matches=conf.match.max()-conf.match.min()-1\n",
    "    N=int(span_matches/matches_delta)+1\n",
    "    milestones=np.array([conf.match.min()+matches_delta*i for i in range(N)])\n",
    "    profits=[]\n",
    "    lens=[]\n",
    "    for i in range(N-1):\n",
    "        beg=milestones[i]\n",
    "        end=milestones[i+1]-1\n",
    "        conf_sel=confconf[(conf.match>=beg)&(conf.match<=end)]\n",
    "        l=len(conf_sel)\n",
    "        lens.append(l)\n",
    "        if l==0:\n",
    "            profits.append(0)\n",
    "        else:    \n",
    "            p=profitComputation(100,conf_sel)\n",
    "            profits.append(p)\n",
    "    profits=np.array(profits)\n",
    "    return profits,lens"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "According to the curve above, betting on 10% of the matches leads to an average ROI of 58%.\n",
    "\n",
    "We decide to bet on **10%** of the matches : the 10% with the highest confidence between 2013 and 2018 (~1100 matches).\n",
    "\n",
    "We have to check first that these matches are well spread between 2013 and 2018."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 218,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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PP/00ZxIUoHo4th07diA2Nha//fYbfv31V6hUKvj4+CAqKgozZswwGi9bJBLh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NkdOjrlq/aDCK5juEnmBBG6OmOVYHv/oUmsXt5T+dsRMoekklFLm7oIcXFoeMa2zdTOtFQM51lS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\nIiIiYrNf2YiowY1vu2gAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0d66ce3630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "confconf=conf.iloc[:int(0.1*len(conf)),:]\n",
    "profits,lens=profitsAlongTime(confconf,117)\n",
    "fig=plt.figure(figsize=(5.5,3),dpi=120)\n",
    "ax = fig.add_axes([0,0,1,0.9])  \n",
    "ax.plot(lens,linewidth=2,marker=\"o\")\n",
    "plt.suptitle(\"Betting on sections of 117 matches\")\n",
    "ax.set_xlabel(\"From 2013 to 2018\")\n",
    "ax.set_ylabel(\"For each section, number of matches we bet on\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The matches we are the most confident in are well spread accross the study period.\n",
    "\n",
    "That indicates a certain stability in the betting market.\n",
    "\n",
    "Now let's see our ROI for the consecutive sections of 100 matches between 2013 and 2018."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 223,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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CeTNmzMCwYcNQVlaGLVu28Nu5Z5W7RhwajQZPP/00Pv30Uzz22GOqficROBQWJHxm69at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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0d60012d68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "conf10=conf.iloc[:int(0.1*len(conf)),:]\n",
    "profits,lens=profitsAlongTime(conf10,117)\n",
    "fig=plt.figure(figsize=(5.5,3),dpi=120)\n",
    "plt.plot(profits,linewidth=2,marker=\"o\")\n",
    "plt.suptitle(\"Betting on sections of 117 matches\")\n",
    "plt.xlabel(\"From 2013 to 2018\")\n",
    "plt.ylabel(\"ROI\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There is a great variability but the process seems quite stationary. \n",
    "\n",
    "To sum up, a strategy that gives a good ROI in 2013 still gives a good ROI in 2018, which is quite reassuring.\n",
    "\n",
    "But such a variability would force us to wait much more that 117 matches to guarantee the 58% ROI...\n",
    "\n",
    "**Now let's bet on 35% of the matches (~3850 matches). The average ROI over our study period in 20%.**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 227,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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tDw3PkVbp4MGDWLJkCXQ6Hfr27Yv7778fRUVFOH36NMrKyjBkyBBs2LDBpgrB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\nHm1U4j1Nrn5RAcSDJk2tHhqt3mS2IHF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SgsTERAqaOMqrxXse7FLcsqE6TYJAwh7Toosr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LQvOLlF9Sz5y1344vKWggtbAtAsdCgVo6kon7KmpibN1wKBAA4ePIhp09TWcnNzM9raUjf6yzcu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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0d5ff372e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "confconf=conf.iloc[:int(0.35*len(conf)),:]\n",
    "profits,lens=profitsAlongTime(confconf,117)\n",
    "fig=plt.figure(figsize=(5.5,3),dpi=120)\n",
    "plt.plot(profits,linewidth=2,marker=\"o\")\n",
    "plt.suptitle(\"Betting on sections of 117 matches\")\n",
    "plt.xlabel(\"From 2013 to 2018\")\n",
    "plt.ylabel(\"ROI\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 237,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Standard deviation : 12.5\n"
     ]
    }
   ],
   "source": [
    "print(\"Standard deviation : \"+str(round(profits.std(),1)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**By betting on 35% of the matches, by sections of 117 consecutive matches, we almost never loose money !**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Conclusion <a name=\"conclusion\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A comfortable observation is that the betting market seems quite stationary, which is a condition for powerful and secure betting strategies.\n",
    "\n",
    "It also appears that making steady money with tennis betting is possible. \n",
    "The technique above gives a **ROI of 20% by betting on 35% of the matches** (on Pinnacle).\n",
    "And there seems to be a lot of techniques and improvements to explore to make it bigger.\n",
    "\n",
    "Don't hesitate to tell me if you see any mistake, especially any leak.\n",
    "\n",
    "I hope you liked this kernel ! :)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
